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This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems.
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Descrizione del libro
This 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems.
Contenuti
Preface; 1. The KdV equation and its symmetries; 2. The KdV hierarchy; 3. The Hirota equation and vertex operators; 4. The calculus of Fermions; 5. The Boson–Fermion correspondence; 6. Transformation groups and tau functions; 7. The transformation group of the KdV equation; 8. Finite dimensional Grassmannians and Plücker relations; 9. Infinite dimensional Grassmannians; 10. The bilinear identity revisited; Solutions to exercises; Bibliography; Index.
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (Cambridge Tracts in Mathematics, Series Number 135)
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras
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Solitons (Paperback)
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Cambridge University Press, Cambridge, 2012
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Paperback. Condizione: new. Paperback. This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara. This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike. This 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781107404199
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (Cambridge Tracts in Mathematics, Series Number 135)
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras
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ISBN 13: 9781107404199
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras
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Solitons
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Solitons (Paperback)
Editore:
Cambridge University Press, Cambridge, 2012
ISBN 10: 1107404193
ISBN 13: 9781107404199
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Paperback. Condizione: new. Paperback. This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara. This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike. This 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9781107404199
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